The series given is perfect squares in the decimal number system converted to their binary equivalents.

1 = 1 , THE square of 1100 = 4, the square of 21001 =9 , the square of 310000 = 16 the square of 411001 = 25 the perfect square of 5Obviously, the next number should be the perfect square 36 converted to its binary equivalent i.e. 100100Answer option a

To answer this question ,you need to know how to convert a number into its binary equivalent.

ABEC - This series has A and E, the first two vowels appearing on odd position of the word.IFOG - This series has I and O , the next two vowels appearing on odd positions of the word.UJAK - This series has U and O the next two vowels appearing on odd positions of the word.tHERE FORE THE missing word must have E and I, the next two vowels on odd positions . Only one option fits the sereis option d

D is the fourth letter from start, while W is the fourth letter from the end.J is the 10th letter from the start and Q is the 10th letter from the end.FK:F is the 6th letter from the start, while U is the 6th letter from the end.K is the 11th letter from the start while P is the 11 th letter from the end.Hence option d